Regularized inversion of full tensor magnetic gradient data
DOI:
https://doi.org/10.26089/NumMet.v17r103Keywords:
magnetostatics, full tensor magnetic gradient data, inverse problems, ill-posed problems, regularization methodAbstract
Features of numerical solution of the three-dimensional ill-posed problem devoted to the inversion of full tensor magnetic gradient data are considered. This problem is simulated by a system of two three-dimensional Fredholm integral equations of the first kind. The Tikhonov regularization is applied to solve this ill-posed problem. The conjugate gradient method is used as a minimization method. The choice of the regularization parameter is realized according to the generalized residual principle with consideration of round-off errors capable of affecting the final result of calculations significantly.
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Published
02-02-2016
How to Cite
Ван Я., Лукьяненко Д., Ягола А. Regularized Inversion of Full Tensor Magnetic Gradient Data // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2016. 17. 13-20. doi 10.26089/NumMet.v17r103
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Section
Section 1. Numerical methods and applications